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Finding the Fourth Proportional to 172.05, 235.87 and 169.21

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Solution

The fourth proportional to 172.05, 235.87 and 169.21 is: 231.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.05 : 235.87 = 169.21 : x
  2. Step 2: Convert to fraction form
    172.05/235.87 = 169.21/x
  3. Step 3: Cross multiply
    172.05x = 235.87 × 169.21
  4. Step 4: Simplify right side
    172.05x = 39,911.56
  5. Step 5: Solve for x
    x = 39,911.56/172.05
  6. Step 6: Final answer
    x = 231.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.